If sin(120^0-alpha)=sin(120^0-beta),0

If sin alpha=A sin(alpha+beta),Ane0 , then The value of tan alpha is

If sin alpha=A sin(alpha+beta),Ane0 , then Which of the following is not the value of tan(alpha+beta) ?

If sin(alpha+beta)sin(alpha-beta)=singamma(2sinbeta+singamma), where 0 < alpha,beta,gamma < pi, then the straight line whose equation is xsinalpha+ysinbeta-singamma=0 passes through point (a) (1,1) (b) (-1,1) (c) (1,-1) (d) none of these

If (cos^(4)alpha)/(cos^(2) beta) + (sin^(4)alpha)/(sin^(2)beta) = 1, prove that sin^(4)alpha + sin^(4) beta = 2 sin^(2) alpha sin^(2) beta

If (cos^(4)alpha)/(cos^(2) beta) + (sin^(4)alpha)/(sin^(2)beta) = 1, prove that (cos^(4)beta)/(cos^(2) alpha) + (sin^(4)beta)/(sin^(2)alpha)= 1

If f(x)=|cos (x+alpha) , cos (x+beta) , cos (x+gamma)],[ sin (x+alpha) , sin (x+beta) ,sin (x+gamma) ],[ sin (beta-gamma), sin (gamma-alpha), sin (alpha-beta)]| and f(0)=-2 then overset(30)underset( r=1) sum |f(r)| equals

" If " f(x) = |{:(cos(x+alpha),,cos(x+beta),,cos(x+gamma)),(sin(x+alpha) ,,sin(x+beta),,sin(x+gamma)),(sin(beta-gamma),, sin(gamma-alpha),,sin (alpha-beta)):}| and f(0)=2 theb find the value of Sigma_(r=1)^(30) | f(r )| .

Let f(x)=sin^(2)(x +alpha)+sin^(2)(x +beta)-2cos(alpha-beta)sin(x+alpha)sin(x +beta) . Which of the following is TRUE ?

If (sin alpha)/(sin beta)=(cos gamma)/(cos delta), then (sin ((alpha-beta)/2) . cos ((alpha+beta)/2) . cos delta)/(sin ((delta-gamma)/2) . sin ((delta+gamma)/2) . sin beta)

If (tan(alpha+beta-gamma))/("tan"(alpha-beta+gamma))=(tangamma)/(tanbeta),(beta!=gamma) then sin2alpha+sin2beta+sin2gamma= (a) 0 (b) 1 (c) 2 (d) 1/2